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2828142 = 23383631
BaseRepresentation
bin1010110010011101101110
312022200111000
422302131232
51211000032
6140341130
733016212
oct12623556
95280430
102828142
111661909
12b447a6
13780375
14538942
153ace7c
hex2b276e

2828142 has 32 divisors (see below), whose sum is σ = 6370560. Its totient is φ = 929880.

The previous prime is 2828141. The next prime is 2828173. The reversal of 2828142 is 2418282.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2828141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4167 + ... + 4797.

It is an arithmetic number, because the mean of its divisors is an integer number (199080).

22828142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2828142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3185280).

2828142 is an abundant number, since it is smaller than the sum of its proper divisors (3542418).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2828142 is a wasteful number, since it uses less digits than its factorization.

2828142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 719 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 2828142 is about 1681.7080602768. The cubic root of 2828142 is about 141.4166039985.

The spelling of 2828142 in words is "two million, eight hundred twenty-eight thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 83 166 249 498 631 747 1262 1494 1893 2241 3786 4482 5679 11358 17037 34074 52373 104746 157119 314238 471357 942714 1414071 2828142